A certain mass of ideal gas is heated at a constant pressure from 27 degrees to 127

A certain mass of ideal gas is heated at a constant pressure from 27 degrees to 127 degrees. The volume of gas increases by 1 liter. Determine the initial volume of gas.

Given: T1 (initial ideal gas temperature) = 27 ºС (300 K); Т2 (final ideal gas heating temperature) = 127 ºС (400 K); V2 – V1 = ΔV (increase in gas volume) = 1 l (0.001 m3); ideal gas pressure is constant.

For an isobaric process, the equality will be true: V1 / T1 = V2 / T2.

V1 / 300 = (V1 + 0.001) / 400.

400V1 = 300V1 + 0.3.

100V1 = 0.3 and V1 = 0.003 m3 (3 l).

Answer: The initial ideal gas volume was 0.003 m3 or 3 liters.



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