# phisic

Treating air as an ideal gas of diatomic molecules, calculate how much heat is required to raise the temperature of the air in an 7.47 m by 14.9 m by 2.87 m room from 19.9°C to 21.7°C at 101 kPa. Neglect the change in the number of moles of air in the room

1. 👍 0
2. 👎 0
3. 👁 97
1. The volume of the room is
7.47x14.9x2.87 = 319.4 m^3
= 319.4*10^6 liters.

If you assume the number of moles in the room remains the same, you are talking about a constant-volume heating. The specific heat for that, for a diatomic molecule, is (5/2)*R = 4.967 cal/mole C

The number of liters per mole at 19.9 C and 101 kPa (1 atm) is

22.4*(293.1/273.3) = 24.0 l/mol

Number of moles = 319.4*10^6 l/24.0 l/mol = 13.3*10^6 mol

heat required to raise temperature 1.8 C
= 1.8 C*4.967 cal/mole C*13.3*10^6 mole = ___

1. 👍 0
2. 👎 0
posted by drwls
2. The volume of the room is
7.47x14.9x2.87 = 319.4 m^3
= 319.4*10^3 liters.
not 319.4*10^6 liters.

1. 👍 0
2. 👎 0
posted by swcb

## Similar Questions

1. ### Physics

Assume the gas is diatomic, calculate how much heat was added to the gas in the process. One mole of ideal gas initially at a temperature of Ti=0 Celsius undergoes an expansion at a constant pressure of 1.00 atm four times its

asked by Joseph on November 29, 2015
2. ### physics

Air in a diesel engine cylinder is quickly compressed from an initial temperature of 21.1°C, an initial pressure of 1.00 atm, and an initial volume of 670 cm^3 to a final volume of 44.5 cm^3. a)Assuming the air to be an ideal

asked by maria on December 27, 2011
3. ### physics

Air in a diesel engine cylinder is quickly compressed from an initial temperature of 21.1°C, an initial pressure of 1.00 atm, and an initial volume of 670 cm^3 to a final volume of 44.5 cm^3. a) Assuming the air to be an ideal

asked by maria on December 31, 2011
4. ### Physics

(Image included with problem) 9.186E-1 moles of an ideal diatomic gas undergoes a transition from a to c along the diagonal path in the figure. The temperature of the gas at point a is 1310 K. During the transition, what is the

asked by Anonymous on April 19, 2015
5. ### Physics (12th Grade)

When an ideal diatomic gas is heated at constant pressure then what fraction of heat given is used to increase internal energy of gas?

asked by Tulika on April 9, 2012
6. ### Physics

A fish at a pressure of 1.1 atm has its swim bladder inflated to an initial volume of 8.16 mL. If the fish starts swimming horizontally, its temperature increases from 20.0 degrees Celsius to 22.0 degress Celcius as a result of

asked by Devon on May 4, 2011
7. ### Chemistry

One cubic meter of ideal diatomic gas is expanded from 150oC, 8 bar isothermally to the final volume. The gas is then cooled at constant volume until 50oC and 3 bar. Calculate the total change in work, heat, enthalpy, and internal

asked by BASSS on April 9, 2013
8. ### Physics need help

Carbon monoxide is a gas at 0 degree Celsius and a pressure of 1.51x10^5 Pa. It is a diatomic gas, each of its molecules consisting of one carbon atom (atomic mass = 12.o u) and one oxygen atom (atomic mass = 16.0 u). Assuming

asked by Kristian on October 27, 2014
9. ### Physics

Which of the following desceriptions about ideal gas is/are correct? 1)An ideal gas obeys Boyle's law only under high temp and low pressure 2)the molecules of an ideal gas have no size 3)the internal energy of an ideal gas

asked by Kong on January 26, 2012
10. ### physics

1 The specific heat of a substance at its boiling point or melting point Is 0 Is infinity Is negative lies between 0 and 1 2 A unit mass of solid converted to liquid at its melting point. Heat is required for this process is

asked by solomon on April 17, 2015

More Similar Questions