The volume of a given mass M varies directly as it's temperature and inversely as it's pressure.if the volume is 30cm when it's temperature is 10k and pressure is 40mmHg, calculate:

Question

(I) the constant of proportionality
(Ii) the formula connecting them
(Iii) the pressure when the volume is 50cm and temperature 2k

Answer 1

(I) To find the constant of proportionality, we can use the formula V = kT/P and plug in the given values:

30 = k(10)/40
k = 120

Therefore, the constant of proportionality is 120.

(Ii) The formula connecting M, T, and P is V = kT/P.

(Iii) To find the pressure when the volume is 50cm and temperature is 2k, we can again use the formula V = kT/P:

50 = 120(2)/P
P = 48/5 mmHg

Therefore, the pressure when the volume is 50cm and temperature is 2k is 48/5 mmHg.