Question

Scientists studying the behavior of hydrogen at low temperatures need to lower the temperature of $0.50mol$of hydrogen gas from $300K$ to $30K$. How much thermal energy must they remove from the gas?

Short answer

The thermal energy of gas is$\approx 2800J$

Step-by-step solution

Definition of thermal energy

The internal energy inherent in a system in thermodynamic equilibrium, as characterised by its heat, appears to be thermal energy.

The conversion of thermal energy to productive tasks is more challenging than the conversion of energy from non-thermodynamically balanced systems.

Step 2:Explanation

We know that a diatomic gas' thermal energy is given by

$E_{th}=\frac{5}{2}nRT$

As a result, when we have a given change in thermal energy, $∆T$in temperature will be

$\Delta E_{th}=\frac{5}{2}nR\Delta T$

Applying numerically, we have

$\Delta E_{th}=\frac{5}{2}·0.5·8.314·270=2806\mathrm{J}$

Thermal energy of gas

Thermal (heat) energy is produced by the movement of particles and is found in all matter. Thermodynamic energy is present in gas is$2800J$.