The Temperature in a constant volume gas thermometer is 80000 pa at 400 K and 60

Question

 The Temperature in a constant volume gas thermometer is 80000 pa at 400 K and  60000 pa at 300K. what is the temperature in K when the pressure is 50000K?

Explanation / Answer

Thepressure in a constant volume gas thermometer is 80000 pa at 400 Kand 60000 pa at 300K. what is the temperature in K when thepressure is 50000K? Apply Ideal Gas Law:      P*V = n*R*T      ---->   P/T = n*R/V          {Constant Volume} ---->    P/T = Constant = k      ---->    T = P/k From given problem data, we have:      P/T = P1/T1 = (80000)/(400) = 200 = k      P/T = P2/T2 = (60000)/(300) = 200 = k From problem statement, it is unclear whether given finalpressure (P_final) is {50000 pa} or {50000K pa = 50,000,000 pa}. Weprovide solutions for both possibilities: {P_final =50000pa}:    (NOTE: Try this solutionfirst.) ---->   (T_final) = (P_final)/k = (50000)/(200) = 250 degK {P_final =50000K pa}: ---->    (T_final) = (P_final)/k = (50000.0e+3)/(200) = 250e+3 degK .

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