Worksheet: Isobaric

In this worksheet, we will practice calculating the change in internal energy and the work done for ideal gasses at constant pressure.

Q1:

The pressure of a gas is maintained at 2.00 atm as it undergoes a quasi-static isobaric expansion from a volume of 3.50 L to a volume of 8.50 L. How much work is done by the gas to increase its volume?

Q2:

When a gas undergoes a quasi-static isobaric compression, changing from a volume of 12.00 L to a volume of 5.50 L, 35 J of work from an external source are required. What is the pressure of the gas during its compression?

Q3:

During the isobaric expansion from state 𝐴 to state 𝐵 represented in the diagram, the gas heats its surroundings with 599 J. What is the change in the gas’s internal energy?

Q4:

A mole of ideal monatomic gas at a temperature of 0 . 0 0 ∘ C and a pressure of 1.00 atm is warmed up to expand isobarically to triple its volume. How much heat is transferred during the process?

  • A 4 . 2 5 × 1 0 3 J
  • B 4 . 1 6 × 1 0 3 J
  • C 4 . 3 7 × 1 0 3 J
  • D 4 . 5 3 × 1 0 3 J
  • E 4 . 4 8 × 1 0 3 J

Q5:

In a quasi-static isobaric expansion at a pressure of 0.80 atm, 0.50 kJ of work is done by a gas that has an initial volume of 20.0 L. What is the ratio of the volume of the gas after its expansion to its initial volume?

Q6:

In a quasi-static isobaric expansion at a pressure of 0.800 atm, 0.500 kJ of work is done by a gas that has an initial volume of 20.0 L. If the internal energy of the gas increases by 80.0 J during the expansion, how much heat does the gas absorb?

Q7:

Four moles of a monatomic ideal gas in a cylinder are at a temperature of 2 7 ∘ C . The gas is expanded at a constant pressure equal to 1.0 atm, until the gas doubles in volume.

What is the internal energy change of the gas during its expansion?

How much work was done by the gas during its expansion?

How much heat was transferred to the gas during its expansion?

Q8:

A cylinder containing three moles of nitrogen gas is heated at a constant pressure of 2.00 atm. The temperature of the gas changes from 300 K to 350 K as a result of the expansion.

Find the work done on the gas.

Find the work done by the gas.

Q9:

An ideal monatomic gas at a pressure of 3 . 2 × 1 0 5 N/m2 and a temperature of 320 K undergoes a quasi-static isobaric expansion from a volume of 3 . 2 × 1 0 3 cm3 to a volume of 4 . 2 × 1 0 3 cm3.

What is the work done by the gas?

What is the temperature of the gas after the expansion?

How many moles of the gas’s molecules are contained in the gas?

What is the change in the internal energy of the gas?

By how much is the gas heated?

Q10:

1.000 mole of a dilute diatomic gas occupies a volume of 12.00 L. The gas expands against a constant pressure of 1.150 atm when it is slowly heated. If the temperature of the gas rises by 18.70 K and it is heated with 609.5 J, what is the gas’s final volume?

Q11:

A cylinder containing 6 moles of a monatomic ideal gas is heated at a constant pressure of 3 atm. The temperature of the gas changes from 100 K to 120 K.

Find the work done by the gas.

Find the amount of heating of the system.

Q12:

Steam to drive an old-fashioned steam locomotive is supplied at a constant gauge pressure of 1 . 6 4 × 1 0 6 Pa to a piston with a 0.2500 m radius. Find the net work done by the steam when the piston moves a distance of 0.916 m.

Q13:

An isobaric process changes the temperature of air from 𝑇 = 1 0 0 1 K to 𝑇 = 2 0 0 2 K . What is the specific entropy change produced by the heating? Use a value of 1.000 kJ/kg⋅K for the specific heat capacity of air.

Q14:

A vessel contains an ideal gas at temperature 𝑇 . What is the temperature of the gas if its volume 𝑉 is changed to 2 . 0 𝑉 while its pressure remains constant?

  • A 0 . 6 0 𝑇
  • B 1 . 5 𝑇
  • C 0 . 5 0 𝑇
  • D 2 . 0 𝑇
  • E 0 . 2 0 𝑇

Q15:

An ideal gas is initially at a temperature of 6 0 ∘ C and a pressure of 4.0 kPa. The gas then undergoes isobaric expansion, which increases the volume of the gas from 1.6 m3 to 4.0 m3. What is the magnitude of the work done by the gas in this process?

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