Question

A container with a fixed volume filled with hydrogen gas

Answer 1

Based on the calculations, the new temperature of this hydrogen gas at a fixed volume is equal to 258.72°C.

How to determine the new temperature?

In order to calculate the new temperature of this hydrogen gas at a fixed volume, we would apply Gay Lussac's law.

Mathematically, Gay Lussac's law is given by this formula;

P α T

P = kT

Where:

• P is the pressure.

• T is the temperature.

• k is the constant of proportionality.

Given the following data:

• Initial temperature = -104°C to K = 273 - 104 = 169 K.

• Final pressure = 71.8 kPa.

• Initial pressure = 225.9 kPa.

Substituting the given parameters into the formula, we have;

$\frac{P_1}{T_1} =\frac{P_2}{T_2} \\\\\frac{71.8}{169} =\frac{225.9}{T_2} \\\\71.8T_2 =38177.1\\\\T_2 = 38177.1/71.8$

T₂ = 372.5/0.96

New temperature = 531.72 K.

Conversion:

°C = K - 273

°C = 531.72 - 273

New temperature = 258.72°C.

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Complete Question:

A container with a fixed volume, filled with hydrogen gas at −104°C and 71.8 kPa is heated until the pressure reaches 225.9 kPa. What is the temperature of the hydrogen gas in degrees Celsius?