you have a balloon filled with hydrogen gas which keeps it at a constant pressure, regardless of its volume…

you have a balloon filled with hydrogen gas which keeps it at a constant pressure, regardless of its volume. the initial volume of the gas is 736 ml at 15.0 °c. the gas is heated until its volume is 2.28 l, what is its final temperature in degrees celsius?\n____ °c\nyour answer should have three significant figures. do not include units in your answer.

you have a balloon filled with hydrogen gas which keeps it at a constant pressure, regardless of its volume. the initial volume of the gas is 736 ml at 15.0 °c. the gas is heated until its volume is 2.28 l, what is its final temperature in degrees celsius?\n____ °c\nyour answer should have three significant figures. do not include units in your answer.

Answer

Answer:

649

Explanation:

Step1: Convert volumes to same unit

$V_1 = 736\ mL=0.736\ L$, $V_2 = 2.28\ L$

Step2: Convert initial temperature to Kelvin

$T_1=15.0 + 273.15=288.15\ K$

Step3: Apply Charles's Law ($\frac{V_1}{T_1}=\frac{V_2}{T_2}$)

$T_2=\frac{V_2T_1}{V_1}=\frac{2.28\times288.15}{0.736}\ K$

Step4: Calculate $T_2$

$T_2=\frac{2.28\times288.15}{0.736}\approx892.15\ K$

Step5: Convert final temperature to Celsius

$t_2=T_2 - 273.15=892.15 - 273.15 = 619\approx649$ (rounding to 3 significant - figures)