Answer to Question #248571 in General Chemistry for Emi

Question

Lesson: Ideal gas law

Use the ideal gas law to derive an equation that relates the remaining variables for a sample of an ideal gas if the following are held constant.

a. amount and volume

b. pressure and amount

c. temperature and volume

d. temperature and amount

e. pressure and temperature

Answer 1

a) amount and volume ( P, T = constant)

According to ideal gas law, PV=nRT

When P and T remain constant, R is also constant,

then $V \propto n$

Now $V_1/V_2=n_1/n_2$

b) pressure and amount ( V, T = constant)

$PV=nRT$

$P \propto n$

$P_1/P_2=n_1/_2$

c) temperature and volume (P, n =constant)

$V\propto T$

$V_1/V_2=T_1/T_2$

d) Temperature and amount (P, V= constant)

$nRT=PV$

$n\propto 1/T$

$n_1/n_2=T_2/T_1$

e) pressure and temperature (V, n = constant)

$PV=nRT$

$P\propto T$

$P_1/P_2=T_1/T_2$