A certain volume of the gas was found to be at a pressure of 1200 mm of mercury. When the pressure was decreased by 500 mm the gas occupied a volume of 2400 ${cm}^{3}$ . Calculate the initial volume occupied by the gas if the change was done at a constant temperature?

Open in App

Solution

$V_{1} = Initial volume of the gas = ? {cm}^{3} V_{2} = Final volume of the gas = 2400 {cm}^{3} P_{1} = Initial pressure of the gas = 1200 mm Hg P_{2} = Final pressure of the gas = 700 mm Hg$

$By Boyles law P_{1} V_{1} = P_{2} V_{2} Substituting the values : 1200 \times x = 700 \times 2400 Therefore x is = \frac{700 \times 2400}{1200} = 1400 {cm}^{3} Therefore the initial volume occupied by the gas is 1400 {cm}^{3}$

Suggest Corrections

Similar questions

The volume of a certain mass of a gas was found to be 800 cc when pressure was 760 mm of Hg. If the pressure increases by 50%. Calculate the new volume of the gas, assuming that temperature remains constant.

A gas occupies 400 cm³ at normal pressure. Find the volume occupied by the gas at a pressure of 60 cm of mercury, temperature remaining constant.

Q. An ideal gas at 650 mm occupied a bulb of unknown volume. A certain amount of gas was withdrawn and found to occupy 1.52 cc at 1 ATM pressure. The pressure of the gas remaining in the bulb was 600 mm. Assuming all measurements made at constant temperature calculate the volume of the bulb.

Q. At a constant temperature, a gas at a pressure of 750 mm of mercury occupies a volume of 1000

{cm}^{3}

. If volume is decreased by 40%, find the new pressure.

Q. A certain volume of the gas is kept as 77°C. When the temperature is decreased by 20°C the gas occupies a volume of 900 ml. What was the initial volume of the gas? [pressure constant]

Join BYJU'S Learning Program

A certain volume of the gas was found to be at a pressure of 1200 mm of mercury. When the pressure was decreased by 500 mm the gas occupied a volume of 2400 cm3. Calculate the initial volume occupied by the gas if the change was done at a constant temperature?

A certain volume of the gas was found to be at a pressure of 1200 mm of mercury. When the pressure was decreased by 500 mm the gas occupied a volume of 2400 ${cm}^{3}$ . Calculate the initial volume occupied by the gas if the change was done at a constant temperature?