Answer :
Final answer:
To calculate the work done on helium during isobaric compression, you first determine the change in volume using the ideal gas law, considering the change in temperature and the amount of gas in moles. Then, you use this volume change in the work formula W = PΔV, where P is the constant pressure.
Explanation:
To find the work done to 0.02 kg of helium in an isobaric compression from T₁ = 338 K to T₂ = 540 K at a pressure of 137 kPa, we can use the formula for work done during an isobaric process:
W = PΔV
Where W is the work done, P is the pressure, and ΔV is the change in volume.
To find ΔV, we use the ideal gas law:
PV = nRT
Assuming the amount of helium doesn't change, since P is constant, the change in volume is directly proportional to the change in temperature:
- ΔV = nR(T₂ - T₁) / P
- To find n, the number of moles of helium, we use the molar mass of helium (4.00 g/mol) and the given mass (0.02 kg or 20 g): n = 20 g / 4.00 g/mol = 5 moles
- Then we plug the values into the equation for ΔV
- Finally, we calculate W using the ΔV we found and the given pressure P
Solving for these variables will provide the work done on the gas.
