Concept explainers
A certain quantity of hydrogen occupies a volume of 1000 cm3 at 0°C (273 K) and ordinary atmospheric pressure. (a) If the pressure is tripled but the temperature is held constant, what will the volume of the hydrogen be? (b) If the temperature is increased to 273°C but the pressure is held constant, what will the volume of the hydrogen be?
(a)
The volume of hydrogen when the pressure is tripled but temperature is kept constant.
Answer to Problem 55E
The volume of hydrogen when the pressure is tripled but temperature is kept constant is
Explanation of Solution
Given info: The initial volume of hydrogen is
Write the expression of Boyle’s law for a gas.
Here,
Solve for
Given the initial pressure
Thus, the expression for
Substitute
Conclusion:
Therefore, the volume of hydrogen when the pressure is tripled but temperature is kept constant is
(b)
The volume of hydrogen when the temperature is
Answer to Problem 55E
The volume of hydrogen when the temperature is
Explanation of Solution
Given info: The initial volume of hydrogen is
Write the expression of Charles’s law for gases.
Here,
The initial and final temperatures can be converted to Kelvin scale as,
Solve for
Substitute
Conclusion:
Therefore, the volume of hydrogen when the temperature is
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