26.4 mol of gas at atmospheric pressure is compressed. What is the volume of the compressed gas in the unit of m3 when the gauge pressure of the compressed gas is 30.6 kPa and the temperature of the gas is 40°C? The atmospheric pressure is 101.3 kPa.

26.4 mol of gas at atmospheric pressure is compressed. What is the volume of the compressed gas in the unit of m3 when the gauge pressure of the compressed gas is 30.6 kPa and the temperature of the gas is 40°C? The atmospheric pressure is 101.3 kPa.

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter16: Temperature And The Kinetic Theory Of Gases

Section: Chapter Questions

Problem 27P

See similar textbooks

Related questions

Q: Four closed tanks, A, B, C, and D, each contain an ideal gas. The table gives the absolute pressure…

A: Given data: A B C D Absolute pressure (Pa) 25.0 30.0 20.0 2.0 Volume (m3) 4.0 5.0 5.0 75…

Q: A gas is under a pressure of 6.50 × 106 Pa at 30.0◦C. When the gas is allowed to expand to 4.00…

A: The initial pressure on the gas, Pi is 6.50×106 Pa. The final pressure on the gas, Pf is 0.90×106…

Q: Ex. 13: Calculate the number of molecules in one liter of gas at N.T.P., if mass of each molecules…

A: To find-No. of molecules (n)=?Given-Volume of a gas=1 lit=VTemperature of gas T=273 KMass of each…

Q: A gas consists of NO₂ molecules at temperature T. What is the r.m.s. speed of the molecules, in m/s?…

Q: A sample of an ideal gas is compressed and cooled as it is taken from state 1 to state 2. The given…

A: The given values are listed below. P1=94 kPaV1=0.05 m3V2=0.04 m3T1=300 KT2=260 K

Q: Two moles of an ideal gas are placed in a container whose volume is 6.8 x 10-3 m3. The absolute…

Q: How many moles of an ideal gas are there if the volume of the gas is 158 L at 14°C and a pressure of…

A: To solve the given question we will use the ideal gas law: PV=nRT Given: The volume of the gas:…

Q: Two containers of equal volume each hold samples of the same ideal gas. Container A has 2 times as…

A: The expression for the ideal gas,

Q: A container holds 2.5 moles of an ideal gas at a pressure of 3.5 atmospheres and a temperature of…

A: Number of moles of gas (n) = 2.5 molesPressure (P) = 3.5 atmTemperature (T) = 300 KVolume (V) = 10 L

Q: You are using a 680 W microwave to heat 700 ml of olive oil. If the initial temperature of the oil…

A: Microwave radiation causes rotational transitions in the molecules. By absorbing microwave…

Q: A gas bottle contains 4.15×1023 Nitrogen molecules at a temperature of 354.0 K. What is the thermal…

A: The thermal energy of gas is, The required energy stored in one degree of freedom is,

Q: P1. Consider a gas of oxygen atoms (µ0, = 32 g/mol). What should the temperature of the gas be for…

A: The mean square speed of oxygen atom is expressed by the following equation. Here, T represents the…

Q: The mass of a hot-air ballon and its occupants is 300 kg (excluding the hot air inside the balloon).…

A: We are given pressure inside the balloon. We have to find the temperature of the heated air inside…

Q: When air expands adiabatically (without gaining or losing heat), its pressure P and volume V are…

Q: what is is the mass of air in grams

A: Given data: The volume of automobile tire is: V = 2.5×10-2 m3 The pressure of air in the tire is: P…

Q: An oxygen tank has a volume of 100 ft3. When one pound of gas is expelled from the tank, the…

Q: What is the volume of an ideal gas if 1.30x1026particles of the gas have a pressure of 2.40atm at a…

Q: A sample of helium gas at 25°C is compressed from 200 cm3 to 0.240 cm3. Its pressure is now 3.00 cm…

Concept explainers

Ideal Gas Law

Ideal gas law states that the product of pressure and volume of a gas directly varies with the product of the number of moles, the universal gas constant, and the temperature of the gas.

Question

26.4 mol of gas at atmospheric pressure is compressed. What is the volume of the compressed gas in the unit of m³ when the gauge pressure of the compressed gas is 30.6 kPa and the temperature of the gas is 40°C? The atmospheric pressure is 101.3 kPa.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

You are using a 680 W microwave to heat 700 mL of olive oil. If the initial temperature of the oil is 18 C, what is the temperature after 2 minutes in the microwave? Assume the microwave is 88% efficient. Express this temperature in Celsius. Use 1.97 J/gK for the specific heat of olive oil. The specific gravity is 0.915.
n = 3.8 moles of an ideal gas are pumped into a chamber of volume V= (0.083 m³. The initial pressure of the gas is 1.01 × 10° Pa (about 1 atm). What is the initial temperature, in kelvin, of the gas? T = The pressure of the gas is increased ten times. Now what is the temperature, in kelvin, of the gas? T =
200 grams of an ideal gas are kept in a tank at a temperature of 20°C. The gauge pressure in the tank is 1.50 x 105 N/m2 and the molar mass of the gas is 45.0 grams/mol. Find the volume of the tank. Hint: 1 atm = 1.015 x 105 N/m².
A gas with volume 501 mL is at the temperature 12.3°C. What is volume of the gas, in the unit of mL, when it is heated to the temperature 38.7°C? Assume that the pressure does not change.
A gas is held in a container with volume 516 cm3. If the pressure of the gas inside the container is 100 kPa, what is the pressure of the gas, in the unit of kPa, when it is expanded to 733 cm3? Assume that the temperature of the gas does not change.
With the temperature held constant, the pressure of a gas in a cylinder with a movable piston is increased from 10 kPa to 80 kPa. The initial volume of the gas in the cylinder is 0.56 m^3. What is the final volume of the gas after the pressure is increased?
The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 9.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol. (Round your answer to four decimal places.) dT=0.512 dt X K/min
The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 9.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 L and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time at that instant if n = 10 mol. (Round your answer to four decimal places.) K/min dT_ dt
An amount of gas has volume 250.0L at 17°C and 3.0 atmospheric (atm) pressure. If the temperature and pressure are to be reduced to STP, what should be the corresponding volume? [STP stands for standard temperature and pressure indicating 0°C and 1 atm, and V varies directly with absolute T] 706 L O 771 L 88.5 L 78.4 L
What is the volume of 67 mol of gas, in the unit of m3, when the pressure is 87 kPa and the temperature is 68°C? Use R = 8.314 J/(K mol) for the gas constant. Be careful with units, and remember that the temperature must be in Kelvin when you use the ideal gas equation.
n = 3.6 moles of an ideal gas are pumped into a chamber of volume V = 0.099 m3. The initial pressure of the gas is 1 atm. What is the initial temperature (in K) of the gas? The pressure of the gas is increased to 10 atm. Now what is the temperature (in K) of the gas?
The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV = nRT, where n is the number of moles of the gas and R = 0.0821 is the gas constant. Suppose that, at a certain instant, P = 7.0 atm and is increasing at a rate of 0.15 atm/min and V = 13 and is decreasing at a rate of 0.17 L/min. Find the rate of change of T with respect to time (in K/min) at that instant if n = 10 mol.(Round your answer to four decimal places.)