Gas in a constant-volume gas thermometer registers a pressureof 95.0 kPa at 100°

Question

Gas in a constant-volume gas thermometer registers a pressureof 95.0 kPa at 100°C. Assuming ideal behavior, what is thetemperature of this gas when the pressure is 190 kPa? Pleasegive step by step instructions with solution for max points Gas in a constant-volume gas thermometer registers a pressureof 95.0 kPa at 100°C. Assuming ideal behavior, what is thetemperature of this gas when the pressure is 190 kPa? Pleasegive step by step instructions with solution for max points

Explanation / Answer

Process : Given the process is Constant volume process thismeans during whole process volume of gas will not change.Let thevolume of gas be V Initial Pressure, P = 95 kPa Initial Temperature, T = 100°C = 373K Initial Volume , V = V Applying ideal Gas equation for initial state PV = nRT ----------eq 1 Final Pressure, P' = 190 kPa Final Temperature, T' = ? Final Volume , V' =V                    (as constant volume process) Applying ideal Gas equation for final state P'V' = nRT' ----------eq 2 => P'V = nRT' eq1/eq2 we get P/P' = T/T' => T' = P'T/P = 190*373/95 = 746 K = 473°C Hence final temprature is 473°C

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