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A mass of 3 kg of saturated water vapour at 200 kPa is heated at constant pressure until the temperature reaches 250°C. Calculate the work done by the steam during this process. IMPORTANT INSTRUCTION: Put your answer in the text box up to two decimal places or as a whole number.

Question

A mass of 3 kg of saturated water vapour at 200 kPa is heated at constant pressure until the temperature reaches 250°C. Calculate the work done by the steam during this process. IMPORTANT INSTRUCTION: Put your answer in the text box up to two decimal places or as a whole number.

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Solution

To solve this problem, we need to use the formula for work done by an ideal gas at constant pressure, which is W = P * ΔV, where P is the pressure and ΔV is the change in volume.

However, we don't have the change in volume directly given in the problem. To find this, we need to use the specific volume of steam at the given conditions. The specific volume (v) of steam at 200 kPa and 250°C can be found in steam tables.

Let's assume the specific volume at 200 kPa and initial temperature (saturation temperature at 200 kPa) is v1 and at 200 kPa and 250°C is v2.

The change in volume (ΔV) is then (v2 - v1) * m, where m is the mass of the steam.

Substituting this into the work done formula gives W = P * (v2 - v1) * m.

Without the actual values of v1 and v2, we can't calculate a numerical answer. You would need to look up these values in a steam table and substitute them in to get the final answer.

This problem has been solved

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