Question

What will be the pressure of a gas compressed from an initial pressure of 11. 5 atm in 53. 2 l at 25°c to a volume of 23. 1 l at 75°c.

Answer 1

The pressure of gas after compression is 30.93 atm.

The pressure will be calculated based on the ideal gas Equation. The ideal gas equation relating these terms are as follows -

$P_{1}$ $V_{1}$ / $T_{1}$ = $P_{2}$ $V_{2}$ / $T_{2}$. In the formula, values on LHS indicate initial pressure, volume and temperature. Values on RHS indicate final pressure, volume and temperature.

Keep the values in formula to find the final pressure of a gas.

Before keeping the values, converting the temperature into Kelvin.

Initial temperature = 25 + 273

Initial temperature = 298 K

Final temperature = 75 + 273

Final temperature = 348 K

$P_{2}$ = (11.5 × 53.2 × 348) ÷ (23.1 × 298)

Performing multiplication on both sides of the equation

$P_{2}$ = 212906.4 ÷ 6883.8

Performing division on Right Hand Side of the equation

$P_{2}$ = 30.93 atm

Hence, the final pressure of gas is 30.93 atm.

Learn more about ideal gas equation -

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