One gram of hydrogen is in a cylinder under a pressure of 150 kPa. find the temperature

| June 15, 2021 | education

One gram of hydrogen is in a cylinder under a pressure of 150 kPa. find the temperature of hydrogen in k, if the volume of the cylinder is 3 liters.

Given: m is the mass of hydrogen in the cylinder (m = 1 g; in the SI system m = 10-3 kg); P is the pressure created by hydrogen (P = 150 kPa = 15 * 104 Pa); V is the volume of the cylinder (V = 3 l; in the system V = 3 * 10-3 m3).

Const: MH2 – molar mass of hydrogen (Mn2 = 2 * 10-3 kg / mol); R – universal gas constant (R = 8.31 J / (mol * K)).

To calculate the temperature (absolute) of hydrogen in the cylinder, we apply the formula: P * V = m * R * T / MH2, from where we express: T = MH2 * P * V / (m * R).

Calculation: T = MH2 * P * V / (m * R) = 2 * 10-3 * 15 * 104 * 3 * 10-3 / (10-3 * 8.31) ≈ 108.3 K.

Answer: The temperature (absolute) of hydrogen in the cylinder is 108.3 K.



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