Question

Under constant pressure, the temperature of 2.00 mol of an ideal monotomic gas is raised 15.0 K. What are

a) the work done by the gas
b) energy transferred as heat Q
c) the change Delta-Eint in the internal energy of the gas, and
d) the change Delta-K in the average kinetic energy per atom

Answer 1

To find the work done by the gas, use the formula: Work = pressure x change in volume. Energy transferred as heat can be calculated using the formula: Q = moles x change in temperature x molar heat capacity. The change in internal energy can be found using the formula: ΔEint = Q - W. The change in average kinetic energy per atom can be calculated using the formula: ΔK = ΔEint / number of atoms.

Step-by-step explanation:

To find the work done by a gas, we can use the formula:

Work = pressure x change in volume

Given that the pressure is constant and the change in volume is from 2.0 × 10³ to 4.0 × 10³ cm³, we can calculate the work done by the gas.

The formula for energy transferred as heat is:

Q = moles x change in temperature x molar heat capacity

Since we are given the number of moles and the change in temperature, we can calculate the energy transferred as heat.

The change in internal energy of the gas can be found using the equation:

ΔEint = Q - W

Finally, the change in average kinetic energy per atom can be calculated using the equation:

ΔK = ΔEint / number of atoms