What is the volume of a gas, at a pressure of 10 ^ 5 Pa and a temperature of 20, if initially at a temperature of 50

What is the volume of a gas, at a pressure of 10 ^ 5 Pa and a temperature of 20, if initially at a temperature of 50 and a pressure of 2/10 ^ 5 Pa, it occupies a volume of 0.7 m ^ 3.

To find the volume of the specified gas under these conditions, we use the proportion: Pn * Vn / Tn = Pk * Vk / Tk and Vk = Pn * Vn * Tk / (Tn * Pk).
Values of variables: Pн – initial pressure (Pн = 2 * 10 ^ 5 Pa); Vн – initial volume (Vн = 0.7 m3); Тк – temperature reached by the gas (Тк = 20 ºС = 293 К); Тн – initial temperature (Тн = 50 ºС = 323 К); Рк – reached pressure (Рк = 10 ^ 5 Pa).
Calculation: Vк = 2 * 10 ^ 5 * 0.7 * 293 / (323 * 10 ^ 5) = 1.27 m3.
Answer: The volume of the indicated gas will be equal to 1.27 m3.