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A sample of a gas occupies a volume of 752mL at 25°C. What volume will the gas occupy if the temperature increases to 50°C while the pressure remains constant?

a. 752mL
b. 778mL
c. 800mL
d. 825mL

1 Answer

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Final answer:

The gas will occupy a volume of approximately 816mL if the temperature increases to 50°C while the pressure remains constant.

Step-by-step explanation:

To solve this problem, we can use the formula V₁/T₁ = V₂/T₂, where V₁ and T₁ are the initial volume and temperature, and V₂ and T₂ are the final volume and temperature. Plugging in the values, we have 752mL/298K = V₂/323K. Cross multiplying, we get V₂ = (752mL * 323K) / 298K. Evaluating this equation, we find that V₂ is approximately 816mL.

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