# Helium is in a closed vessel under a pressure of 100 kPa and has a density of 0, 12 kg / m ^ 3

July 26, 2021 | education

| **Helium is in a closed vessel under a pressure of 100 kPa and has a density of 0, 12 kg / m ^ 3 What is the temperature of the gas?**

Initial data: P (helium pressure in a closed vessel) = 100 kPa (100 * 10 ^ 3 Pa); ρ (density of helium) = 0.12 kg / m3.

Constants: M (molar mass of helium, monoatomic inert gas) = 4 g / mol = 4 * 10 ^ -3 kg / mol; R (universal gas constant) = 8.31 J / (mol * K).

The temperature of helium in a closed vessel can be determined using the Mendeleev-Clapeyron law: P * V = (m / M) * R * T; P = ρ * R * T / M and T = P * M / (ρ * R).

Let’s make a calculation: T = 100 * 10 ^ 3 * 4 * 10 ^ -3 / (0.12 * 8.31) = 401.1 K.

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