The air expands isobarically from 2 to 10 liters with a work done of 4 kJ. Determine the air pressure.

| January 17, 2021 | education

Given:
A = 4kJ
V1 = 2L
V2 = 10L
Determine air pressure

The work of gases is determined by the following formula:
A = P * dV
where A is the work of the gas, dV is the change in volume.
The change in volume is determined by the following formula:
dV = V2-V1
where V2 is the volume at the end of the expansion, V1 is before isobaric expansion.
From the formula for determining the work, we determine the air pressure:
P = A / (V2-V1)
Convert liters to m ^ 3
V1 = 2l = 2 * 10 ^ -3
V1 = 10L = 10 * 10 ^ -3
Substitute the values:
P = 4 * 10 ^ 3 / (10 * 10 ^ -3-2 * 10 ^ -3) = 5 * 10 ^ 5 (Pa) = 500 (kPa) Given:
A = 4kJ
V1 = 2L
V2 = 10L
Determine air pressure

The work of gases is determined by the following formula:
A = P * dV
where A is the work of the gas, dV is the change in volume.
The change in volume is determined by the following formula:
dV = V2-V1
where V2 is the volume at the end of the expansion, V1 is before isobaric expansion.
From the formula for determining the work, we determine the air pressure:
P = A / (V2-V1)
Convert liters to m ^ 3
V1 = 2l = 2 * 10 ^ -3
V1 = 10L = 10 * 10 ^ -3
Substitute the values:
P = 4 * 10 ^ 3 / (10 * 10 ^ -3-2 * 10 ^ -3) = 5 * 10 ^ 5 (Pa) = 500 (kPa)



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