# The volume of hydrogen, at a temperature of 50 ° C and a pressure of 0.98 * 10⁵ Pa, is 2.5 * 10⁻³m³.

August 30, 2021 | education

| **The volume of hydrogen, at a temperature of 50 ° C and a pressure of 0.98 * 10⁵ Pa, is 2.5 * 10⁻³m³. what is the volume of the same mass of hydrogen at 0 ° C and a pressure of 10 Pa**

These tasks: initial state of hydrogen (Т1 = 50 ºС (323 K); Р = 0.98 * 10 ^ 5 Pa; V1 = 2.5 * 10 ^ -3 m3); the final state of hydrogen (Т2 = 0 ºС (273 K); Р = 10 ^ 5 Pa).

The required volume of hydrogen is determined from the following equality: P1 * V1 / T1 = m * R / T = P2 * V2 / T2, whence V2 = P1 * V1 * T2 / (T1 * P2).

Let’s make the calculation: V2 = 0.98 * 10 ^ 5 * 2.5 * 10 ^ -3 * 273 / (323 * 10 ^ 5) = 0.00207 m3 (2.07 * 10 ^ -3 m3).

Answer: Hydrogen will occupy a volume of 2.07 * 10 ^ -3 m3.

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