Question

pressure keeping constant if temperature of a gas increases by 25% then what is the % change in volume plz answer my question it's urgent​

Answer 1

The volume of the ideal gas is increased by 25% at a constant temperature. What is the percent decrease in pressure?

The problem states that the gas in consideration is ideal and has undergone isothermal expansion. (As the volume has increased by 25%.)

For isothermal processes, [math]P_1 * V_1 = P_2 * V_2[/math]

[math]P_2 = P_1 *V_1 / V_2 = P_1 * V_1 / 1.25 * V_1 [/math] (As the volume has increased by 25%, the final volume becomes V_2 = (1 + 0.25)*V_1

[math]P_2/P_1 = 1/1.25 = 0.64[/math]

[math]P_2 = P_1*0.64 = (1 - 0.36)*P_1[/math]

Thus there is a decrease of 36% in pressure for 25% increase in volume for an isothermal process.