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Somegas initially at 16°C is heated to 96°C at constant pressure. If the initial volume of the gas is 0.8 m3, determine the final volume of the gas.a.0.102 m3b.1.02 m3c.102 m3d.10.2 m3

Question

Somegas initially at 16°C is heated to 96°C at constant pressure. If the initial volume of the gas is 0.8 m3, determine the final volume of the gas.a.0.102 m3b.1.02 m3c.102 m3d.10.2 m3

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Solution

The problem involves the concept of Charles's Law in thermodynamics, which states that the volume of a given amount of gas is directly proportional to its temperature on the absolute scale (Kelvin), if the pressure is kept constant.

The formula for Charles's Law is: V1/T1 = V2/T2

Where: V1 = initial volume T1 = initial temperature V2 = final volume T2 = final temperature

Given in the problem: V1 = 0.8 m3 T1 = 16°C = 16 + 273.15 = 289.15 K (converted from Celsius to Kelvin) T2 = 96°C = 96 + 273.15 = 369.15 K (converted from Celsius to Kelvin)

We need to find V2.

Substituting the given values into the formula:

0.8 m3 / 289.15 K = V2 / 369.15 K

Solving for V2 gives:

V2 = (0.8 m3 / 289.15 K) * 369.15 K = 1.02 m3

So, the final volume of the gas is 1.02 m3. The correct answer is (b) 1.02 m3.

This problem has been solved

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