Question

A gas has a pressure of 699.0 mm Hg at 40.0 0C. This temperature is
K.

What is the temperature at 760.0 mm Hg? K (round to 1 decimal place) or

degrees Celsius (round to one decimal place.

Answer 1

Answer:

• initial temp: 313.2 K
• final temp: 340.5 K
• in Celsius: 67.3 °C

Explanation:

Given a volume and quantity of gas at 699.0 mm Hg pressure has a temperature of 40.0 °C, you want to know the temperature at 760.0 mm Hg pressure.

Pressure and Temperature

Pressure and absolute temperature of a gas are proportional for a given quantity and volume.

Initial temperature

The temperature of 40.0 °C is an absolute temperature of ...

  40.0 K + 273.15 K = 313.15 K ≈ 313.2 K

New temperature

The temperature after increasing the pressure can be found from ...

  T/313.15 = (760.0 mm)/(699.0 mm)

  T = 313.15 · 760/699 ≈ 340.5 . . . . Kelvin

In Celsius, that is ...

  340.5 K -273.2 = 67.3 °C

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