The pressure in a bicycle tire is 1.34 atm at 33.0°C. At what temperature will the pressure inside the tire be 1.60 atm if volume is constant?

Question

The pressure in a bicycle tire is 1.34 atm at 33.0°C. At what temperature will the pressure inside the tire be 1.60 atm if volume is constant?

1 Answer

Impact of this question

13447 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-22T00:56:14

The temperature will be 366 K.

Explanation:

This is an example of Gay-Lussac's law in which the pressure and Kelvin temperature are directly proportional at constant volume. The equation to use is $\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$ $P_1/T_1=P_2/T_2$ .

$P_{1} = 1.34 atm$ $P_1="1.34 atm"$
$T_{1} = {33.0}^{o} C + 273.15 = 306.2 K$ $T_1="33.0"^"o""C"+273.15="306.2 K"$
$P_{2} = 1.60 atm$ $P_2="1.60 atm"$
$T_{2} = ???$ $T_2="???"$

Solution
Rearrange the equation to isolate $T_{2}$ $T_2$ and solve.
$\frac{P_{1}}{T_{1}} = \frac{P_{2}}{T_{2}}$ $P_1/T_1=P_2/T_2$

$T_{2} = \frac{P_{2} T_{1}}{P_{1}}$ $T_2=(P_2T_1)/P_1$

$T_2=(1.60cancel"atm"xx306.2"K")/(1.34cancel"atm")$

$T_2="366 K"$

Science

Math

Humanities

... and beyond

The pressure in a bicycle tire is 1.34 atm at 33.0°C. At what temperature will the pressure inside the tire be 1.60 atm if volume is constant?

1 Answer

Explanation:

Related questions

Impact of this question