Answer: 74 L
Explanation:
Consider the combined gas law.
[tex]\frac{P_{1}V_{1} }{T_{1}} = \frac{P_{2}V_{2} }{T_{2}}[/tex]
its amazing... isnt it? i hope you like it...
P stands for pressure. V stands for volume. T stands for temperature.
Notice that the left side has subscript 1 and the right side has subscript 2.
1 means that this is the FIRST version... before any changes have been made.... so notice that the figure 310 K would be on the left side here.. and 450 K would be on the right side of this equation. so far so good.
notice that the pressure is constant. so who cares about P??? lets throw it out... its just gonna multiply stuff by 1 anyways which DOES NOTHING...
[tex]\frac{V_{1} }{T_{1}} = \frac{V_{2} }{T_{2}}[/tex]
this is cool...
lets do some replacing...
[tex]\frac{51 L}{310 K} = \frac{V_{2} }{450 K}[/tex]
we basically just do normal algebra now. what is 51 divided by 310?
0.164516. okay... now multiply by 450... and the new volume of the balloon is 74 L rounded to two significant figures since the smallest figure in your question is two sig figs.
