A metal tank with volume 3.10 L will burst if the absolute pressure of the gas it contains exceeds 100 atm. (a) It 11.0 mol of an ideal gas is put into the tank at 23.0°C, to what temperature can the gas be warmed before the tank ruptures? Ignore the thermal expansion of the tank.
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- If you have 3 moles of a monoatomic ideal gas, how much heat is required to raise the temperature of this gas from 261.8K to 284.8K if the volume of the gas remains constant during the heating?Three moles of an ideal gas at 135C and 0.5 atm is allowed to expand 1 atm at a constant pressure to a volume twice as large. What is the new temperature?The density of helium gas at 0.0◦C is0.16 kg/m3kg/m3. The temperature is thenraised to 102 ◦C, but the pressure is kept constant.Assuming that helium is an ideal gas, calculate the new density of the gas.Answer in units of kg/m3.
- On a chilly 10°C day, you quickly take a deep breath—all your lungs can hold, 4.0 L. The air warms to your body temperature of 37°C. If the air starts at a pressure of 1.0 atm, and you hold the volume of your lungs constant (a good approximation) and the number of molecules in your lungs stays constant aswell (also a good approximation), what is the increase in pressure inside your lungs?A cylinder of cross sectional area 0.0287 m^2 is filled with an ideal monoatomic gas. A mass of 47.4 kg is placed on top of the piston which is free to move without friction. The piston starts 0.61m above the base of the cylinder. The gas in the piston is initially at a temperature of 454.0 K and the pressure in the lab is 100kPa.How many moles of gas are in the cylinder?(a) What is the gauge pressure in a 25.0oC car tire containing 3.60 mol of gas in a 30.0 L volume? (b) What will its gauge pressure be if you add 1.00 L of gas originally at atmospheric pressure and 25.0oC? Assume the temperature returns to 25.0oC and the volume remains constant.