If the volume of an ideal gas at $350 torr$ $"350 torr"$ of pressure and $25^{\circ} C$ $25^@ "C"$ is $450 L$ $"450 L"$ , at what temperature is its volume $420 L$ $"420 L"$ and pressure $830 torr$ $"830 torr"$ in a sealed balloon?

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If the volume of an ideal gas at $350 torr$ $"350 torr"$ of pressure and $25^{\circ} C$ $25^@ "C"$ is $450 L$ $"450 L"$ , at what temperature is its volume $420 L$ $"420 L"$ and pressure $830 torr$ $"830 torr"$ in a sealed balloon?

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Answer 1 · 2016-12-08T13:53:44

386.6 degrees C

Explanation:

$\frac{V_{1} \times P_{1}}{T_{1}} = \frac{V_{2} \times P_{2}}{T_{2}}$ $(V_1 xx P_1)/T_1 = (V_2 xx P_2)/T_2$

$V_{1} = 450$ $V_1 = 450$
$P_{1} = 350$ $P_1 = 350$
$T_{1} = 273 + 25 = 298$ $T_1 = 273 + 25 = 298$ temperature must be calculated in degrees K or absolute zero.

$V_{2} = 420$ $V_2 = 420$
$P_{2} = 830$ $P_2 = 830$
$T_{2} = u n k n o w n ?$ $T_2 = unknown ?$

putting these values into the equation gives

$\frac{450 \times 350}{298} = \frac{420 \times 830}{T_{2}}$ $(450 xx 350)/298 = (420 xx 830)/T_2$ Solving for $T_{2}$ $T_2$ gives

$T_{2} = \frac{420 \times 830 \times 298}{450 \times 350}$ $T_2 = (420 xx 830 xx 298)/ (450 xx 350)$ solving gives

#T_2 = 659.57333333 subtract 273 to bring back to degrees C and round off to four significant figures. gives

$T_{2} = 386.6$ $T_2 = 386.6$

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If the volume of an ideal gas at $350 torr$ $"350 torr"$ of pressure and $25^{\circ} C$ $25^@ "C"$ is $450 L$ $"450 L"$ , at what temperature is its volume $420 L$ $"420 L"$ and pressure $830 torr$ $"830 torr"$ in a sealed balloon?

1 Answer

Explanation:

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Science

Math

Humanities

... and beyond

If the volume of an ideal gas at 350 torr"350 torr" of pressure and 25∘C25^@ "C" is 450 L"450 L", at what temperature is its volume 420 L"420 L" and pressure 830 torr"830 torr" in a sealed balloon?

1 Answer

Explanation:

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Impact of this question

If the volume of an ideal gas at $350 torr$ $"350 torr"$ of pressure and $25^{\circ} C$ $25^@ "C"$ is $450 L$ $"450 L"$ , at what temperature is its volume $420 L$ $"420 L"$ and pressure $830 torr$ $"830 torr"$ in a sealed balloon?