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A boy reports that when a gas is heated at constant pressure from 28oC to 58oC, the final volume is found to be 10% more than the initial volume. Then according to him absolute zero is

Question

A boy reports that when a gas is heated at constant pressure from 28oC to 58oC, the final volume is found to be 10% more than the initial volume. Then according to him absolute zero is

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Solution

This problem can be solved using Charles's Law, which states that the volume of a gas is directly proportional to its temperature in Kelvin, provided the pressure is constant.

Let's denote:

  • V1 as the initial volume of the gas
  • V2 as the final volume of the gas
  • T1 as the initial temperature of the gas in Celsius
  • T2 as the final temperature of the gas in Celsius

According to the problem, we have:

  • T1 = 28°C
  • T2 = 58°C
  • V2 = 1.1 * V1 (since the final volume is 10% more than the initial volume)

We need to convert the temperatures from Celsius to Kelvin. The formula to convert Celsius to Kelvin is K = °C + 273.15. So:

  • T1 = 28°C + 273.15 = 301.15 K
  • T2 = 58°C + 273.15 = 331.15 K

Now we can use Charles's Law, which in this case can be written as V1/T1 = V2/T2. Substituting the given values, we get:

V1 / 301.15 = 1.1 * V1 / 331.15

Solving this equation for V1, we get V1 = 0. This implies that the absolute zero, according to the boy's observation, is 0 K.

This problem has been solved

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