An unknown substance has a mass of 0.250 kg and an initial temperature of 90.0°C. The substance is then dropped into a calorimeter made of aluminum containing 0.300 kg of water initially at 25.0°C (assume the water and calorimeter start in thermal equilibrium). The mass of the aluminum container is 0.200 kg, and the temperature of the calorimeter increases to a final equilibrium temperature of 32.0°C. Assuming no thermal energy is transferred to the environment, calculate the specific heat of the unknown substance.  The specific heat of water is 4186 J/(K*mol)  and aluminum is 900 J/(K*mol).

Q: Lead pellets, each of mass 1.90 g, are heated to 200°C. How many pellets must be added to 492 g of…

A:

Q: 49. ssm At a fabrication plant, a hot metal forging has a mass of 75 kg and a specific heat capacity…

A: Given data The mass of the hot forging is: mm = 75 kg The specific heat of the hot metal is: Cm =…

Q: An aluminum washer has an outer radius ro=1.3cm and an inner radius of ri=0.43cm. The temperature of…

A: Given ,         initial temperature Ti=282k         Final temperature Tf=630k        mass of…

Q: A thermally isolated system consists of 1 mol of helium gas at 100 K and 1 kg of a solid (c = 24.9…

A: Given that: n1=1 moln2= 1 kg                   T1=100KT2= 200K                   c1=32Rc2=24.9…

Q: The specific heat of water is 4186 J/kg c°. How much does the internal energy of 200 g of water…

A:

Q: A workshop with well-insulated walls and containing 800 m of air at 305 kK is ted at constant…

A: Write the given values of the problem- Volume=800 m3 Temperatue=305 k ∆T=2.90°CHeight=hh=3.10 m

Q: An aluminum cup contains 225 g of water and a 40-g copper stirrer, all at 27°C. A 444-g sample of…

A: We'll use law of conservation of energy here and different standard values of specific heat capacity…

Q: An iron block (c = 0.450 J/gºC) is initially at 60.0 ºC. The block is then submerged into 100.0 g of…

A: Given : Capacity of iron, CFe = = 0.450 J/gºC Mass of iron = m gram Temperature of iron, TFe = 60° C…

Q: Jill takes in 0.0270 mol of air in a single breath. The air is taken in at 20.0°C and exhaled at…

A: Given, Jill takes in 0.0270 mol of air in a single breath. The air is taken in at 20.0°C and exhaled…

Q: One mole of an ideal gas first undergoes an isothermal expansion at a temperature T1 = 650 K to 5…

A:

Q: Jill takes in 0.0270 mol of air in a single breath. The air is taken in at 20.0°C and exhaled at…

A:

Q: A 0.264-kg coffee mug is made from a material that has a specific heat capacity of 907 J/kg C° and…

A:

Q: The interior of a refrigerator has a surface area of 6.2 m2 . It is insulated by a 2.9 cm thick…

A: The surface area of the interior of the refrigerator is 6.2 m2. The thickness of the material is 2.9…

Q: An immersion heater of power J= 500 W is used to heat water in a bowl. After 2 minutes, the…

A: According to thermodynamics -  In first 2 minutes, heater gives heat to the water -  Q1=Jt1 Where  Q…

Q: Ice at 0.00°C is added to 1.00 kg of orange juice, cooling it from 20.0°C to 5.00°C. What mass of…

A: Given data:  Ice temperature = 0.00°C Mass of orange juice (m1) = 1.00 kg Initial temperature (T0) =…

Q: A helium balloon consists of a large bag loosely filled with 560 kg of helium at an initial…

A:

Q: A rigid, insulated tank that is initially evacuated is connected through a valve to a supply line…

A: Let, us consider a tank discharging fluid into a supply line.  Since dwx (work by control volume)…

Q: 3 A mixture of fuel and air is enclosed in an engine cylinder fitted with a piston. The gas pressure…

A:

Q: A solar hot-water-heating system consists of a hot-water tank and a solar panel. The tank is well…

A:

Q: A rigid tank of volume V is subdivided into rigid partition. Volume V₁ contains an ideal =…

A:

Q: A 0.300 kg aluminum container in a calorimeter is at 10.0 Celsius. 0.200 kg of water at 70.0 Celsius…

A: Given, Mass of aluminum mal = 0.300 Kg Initial temperature of aluminum = 10C∘ Mass of water m =…

Q: If you pour 0.0100 kg of 20.0°C  water onto a 1.20-kg block which is initially at  −15.0°C. and the…

A: As per the given data, Mass of the water (mw) = 0.01 kg; Initial temperature of water (Tw) = 200 C =…

Q: Compressed air can be pumped underground into huge caverns as a form of energy storage. The volume…

A: From ideal gas law,Thus, we can find the internal energy to be,

Q: A high-pressure gas cylinder contains 50.0 L of toxic gas at a pressure of 1.40×107 N/m2 and a…

A: The initial temperature of a gas is, The final temperature of a gas is, The initial pressure of a…

Q: An aluminum cup contains 225 g of water and a 40-g copper stirrer, all at 27°C. A 477-g sample of…

A: Given data:  Mass of water (mw) = 225 g Mass of copper stirrer (mcu) = 40 g Mass of silver (mAg) =…

Q: A high-pressure gas cylinder contains 70.0 L of toxic gas at a pressure of 1.40 x 107 N/m² and a…

A: Given data: Initial volume, Vi=70 L Initial pressure, Pi=1.40×107 N/m2 Initial temperature,…

Q: You are boiling water in a pot on the stove for your tea. Being the brilliant scientist you are, you…

A: Given. The 0.1 kg of water in a pot is boiling at 100 degrees celsius. In the process of boiling the…

Q: A cylinder of cross sectional area 0.0356 m^2 is filled with an ideal monoatomic gas. A mass of 43.9…

A: Calculate the change in volume. ∆V=π4d2h1-h2=Ah1-h2=0.0356×0.18-0.65=-0.016732 m3

Q: A high-pressure gas cylinder contains 70.0 L of toxic gas at a pressure of 1.60  107 N/m2 and a…

A:

Q: A 65.4.g copper cylinder at the temperature of 99.5 0C is placed into an aluminum cup with cold…

A: Given Mass of Copper Cylinder = 65.4 gram Temperature of Copper Cylinder = 99.5°C Mass of aluminum…

Q: A sealed container isolated from its environment holds 0.735-kg of water at 13.5°C. A heater inside…

A:

Q: A house has well-insulated walls. It contains a volume of 145 m3 of air at 275 K. (a) Consider…

A: Part(a)Expression of ideal gas equation given by equation (1) . Where P is the pressure of the gas,…