Question

Volume occupied by gas is 700 cm³ under 760 mm Hg pressure. Calculate the pressure of gas if gas occupies 400 cm³ keeping the temperature constant.

Answer 1

Pressure of gas is - 1330 mm Hg pressure.

According to ideal gas law equation,

PV = nRT

Symbols are denoted as -

P is pressure, v is volume, n is number of moles, r is gas constant and t is temperature.

Given values are Pressure and volume.

At constant temperature, equation which will follow is -

P1V1 = P2V2

P1 and V1 denotes given pressure and volume, P2 and V2 denotes P2 to be calculated and V2 is given.

760*700 = P2*400

P2 = 1330 mm Hg pressure.

Thus, pressure of gas at given volume will be 1330 mm Hg pressure.

Answer 2

Pressure of gas = 1330 mm of Hg

Explanation:

Volume1 = 700 cu cm at Pressure1 = 760 mm of Hg

Volume2 = 400 cu cm at constant temperature

By Boyle's law, we know that P1V1 = P2V2

700 * 760 = 400 * x

x = 700 * 760 / 400 = 1330

Pressure of gas = 1330 mm of Hg when the gas occupies a volume of 400 cm³ keeping the temperature constant.