Gas Pressure and Temperature
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In a constant volume gas thermometer, the pressure of the working gas is measured by the difference in the levels of mercury in the two arms of a U-tube connected to the gas at one end. When the bulb is placed at the room temperature 27.0℃, the mercury column in the arm open to atmosphere stands 5.00 cms above the level of mercury in the other arm. When the bulb is placed in a hot liquid, the difference of mercury levels becomes 45.0 cms. Calculate the temperature of the liquid. (Atmospheric pressure = 75.0 cm of mercury.)
155℃
177℃
187℃
165℃.
- 78.4 cm of Hg
- 88.4 cm of Hg
- 98.4 cm of Hg
- 108.4 cm of Hg
You might be familiar with the ideal gas equation from Chemistry, which relates the pressure and volume of an ideal gas with temperature as: PV = nRT, where nR is a constant. You are given a closed metal container of volume V, filled with a gas kept at a temperature T, and pressure P. If γ is the coefficient of volume expansion for the gas, what is the pressure after the temperature is increased by ΔT?
P′ = P(1 + γΔT)
P′ = P(1 − γΔT)
P′ = P
P′ = P(1+γΔT)