A container holds 50.0 mL of nitrogen at 25° C and a pressure of 736 mm Hg. What will be its volume if the temperature increases by 35° C?

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A container holds 50.0 mL of nitrogen at 25° C and a pressure of 736 mm Hg. What will be its volume if the temperature increases by 35° C?

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Answer 1 · 2014-06-13T00:02:25

For this problem we would use the equation for Charles' Law which compares the direct relationship between Volume and Temperature when Pressure is held constant.

Since there is no mention of a change in the pressure we must assume that pressure is held constant.

$V_{i}$ $V_i$ = 50.0 mL
$T_{i}$ $T_i$ = 25 C + 273 = 298 K
$V_{f}$ $V_f$ = ???
$T_{f}$ $T_f$ = 60 C + 273 = 333 K

Always change the temperature form Celsius to Kelvin for the gas laws.

Charles' Equation is

$\frac{V_{i}}{T_{i}} = \frac{V_{f}}{T_{f}}$ $V_i/T_i = V_f/T_f$

This can be rearranged algebraically to

$\frac{V_{i} T_{f}}{T_{i}} = V_{f}$ $(V_iT_f)/T_i = V_f$

$\frac{(50.0 m L) (333 K)}{298 K} = V_{f}$ $((50.0 mL)(333K))/(298 K) = V_f$

$V_{f}$ $V_f$ $= 55.9 m L$ $= 55.9 mL$

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A container holds 50.0 mL of nitrogen at 25° C and a pressure of 736 mm Hg. What will be its volume if the temperature increases by 35° C?

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