A sample of neon gas in a bulb is at 149.05 °C and 349.84 kPa. If the pressure drops
to 103.45 kPa, what is the new temperature (in °C)? Provide your answer to two
decimals.

Respuesta :

The new temperature (in °C) of the gas, given the data is –148.20 °C

Data obtained from the question

  • Initial temperature (T₁) = 149.05 °C = 149.05 + 273 = 422.05 K
  • Initial pressure (P₁) = 349.84 KPa
  • Volume = constant
  • New pressure (P₂) = 103.45 KPa
  • New temperature (T₂) =?

How to determine the new temperature

The new temperature of the gas can be obtained by using the combined gas equation as illustrated below:

P₁V₁ / T₁ = P₂V₂ / T₂

Since the volume is constant, we have:

P₁ / T₁ = P₂ / T₂

349.84 / 422.05 = 103.45 / T₂

Cross multiply

349.84 × T₂ = 103.45 × 422.05

Divide both side by 349.84

T₂ = (103.45 × 422.05) / 349.84

T₂ = 124.80 K

Subtract 273 from 124.80 K to express in degree celsius

T₂ = 124.80 – 273

T₂ = –148.20 °C

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