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A sample of nitrogen gas is contained in a piston with a freely moving cylinder. At 0°c, the volume of the gas is 371 ml. To what temperature must the gas be heated to occupy a volume of 557 ml? report your answer in degrees celcius to the nearest whole number.

Sagot :

The gas must be heated to a final temperature of 137°C in order to fill a volume of 557 ml.

Given,

V₁= 371ml

V₂ = 557 ml

T₁ = 0°C or 273 K

The final gas temperature that has to be heated must be determined.

As long as the cylinder is free to move, the pressure is always 1 atm, or equal to the external pressure.

Consequently, by using Charles Law, we obtain

V₁ / T₁ = V₂ / T₂

where starting and ultimate volumes V1 and V2, respectively

T1 and T2 are beginning and ultimate temperatures, respectively (in Kelvin).

the ultimate temperature is as a result

T₂ = V₂ × T₁ / V₁

Or, T₂ = 557 x (0+273) / 371

Or, T₂ = 410 K

Or, T₂ = 137°C

As a result, the temperature is 137°C at the end.

To learn more about Charle's law from given link

https://brainly.com/question/888898

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