Answer :
The volume of the gas will occupy at -39.9°C if the pressure remains constant is 6.71dm³.
How to calculate volume?
The volume of a given mass of gas can be calculated using Charles's law equation as follows:
V₁/T₂ = V₂/T₂
Where;
- V₁ and T₁ = initial volume and temperature
- V₂ and T₂ = final volume and temperature
According to this question, 8.97dm³ of hydrogen gas is collected at 38.8°C. The volume can be calculated as follows:
8.97/311.8 = V/233.1
0.029 × 233.1 = V
V = 6.71dm³
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The volume of the hydrogen gas that will occupy -39.9 degrees Celsius if the pressure is kept constant is 6.71 dm³
How do I determine the volume occupied at -39.9 degrees C?
Volume occupied by a gas at constant pressure can be obtained by using Charles' law equation as illustrated below:
- Initial volume of hydrogen gas(V₁) = 8.97 dm³
- Initial temperature (T₁) = 38.8 degree C = 38.8 + 273 = 311.8 K
- Final temperature (T₂) = -39.9 degree C = -39.9 + 273 = 233.1 K
- Final volume of hydrogen gas (V₂) =?
V₁ / T₁ = V₂ / T₂
8.97 / 311.8 = V₂ / 233.1
Cross multiply
311.8 × V₂ = 8.97 × 233.1
311.8 × V₂ = 2090.907
Divide both side by 311.8
V₂ = 2090.907 / 311.8
V₂ = 6.71 dm³
Thus, we can conclude from the above calculation that the volume occupied by the gas is 6.71 dm³
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