Question #aa424

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Question #aa424

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Answer 1 · 2016-01-22T08:41:32

You rearrange the equation to isolate the missing variable and solve. You do not cross multiply.

Explanation:

Example
You are given the following information about a gas: $V_{1} = 25 L$ $V_1="25 L"$ ; $T_{1} = 350 K$ $T_1="350 K"$ ; $T_{2} = 270 K$ $T_2="270 K"$ . What is the new volume $(V_{2})$ $(V_2)$ ?

Equation
$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$ $V_1/T_1=V_2/T_2$

Solution
Rearrange the equation to isolate $V_{2}$ $V_2$ , substitute the given values, and solve.

$\frac{V_{1}}{T_{1}} = \frac{V_{2}}{T_{2}}$ $V_1/T_1=V_2/T_2$

Multiply both sides by $T_{2}$ $T_2$ in order to isolate $V_{2}$ $V_2$ .

$V_1/T_1(T_2)=V_2/cancelT_2(cancelT_2)$

$V_2=(V_1T_2)/T_1$

$V_2=((25"L")xx(270cancel"K"))/(350cancel"K")$

$V_2="19 L"$

Notice that there was no cross multiplying. Instead, both sides of the equation were multiplied times $T_2$ , which cancelled it out on the $V_2$ side and multiplied it times $V_1$ on the other side.

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Question #aa424

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