Solve each of the following for the indicated variable:

(a) $P_{1} V_{1}=P_{2} V_{2}$ ; solve for $V_{2}$

(b) $\frac{V_{1}}{T_{1}}=\frac{V_{2}}{T_{2}}$ ; solve for $T_{1}$

(c) $P V=n R T$ ; solve for $n$

(d) $\mathrm{K}={ }^{\circ} \mathrm{C}+273$ ; solve for ${ }^{\circ} \mathrm{C}$

(e) $\frac{3 x+7}{2}=y$ ; solve for $x$

(f) $\frac{32}{y+3}=8$ ; solve for $y$

Question

Solve each of the following for the indicated variable:

(a) [latex]P_{1} V_{1}=P_{2} V_{2}[/latex]; solve for [latex]V_{2}[/latex]

(b) [latex]\frac{V_{1}}{T_{1}}=\frac{V_{2}}{T_{2}}[/latex]; solve for [latex]T_{1}[/latex]

(c) [latex]P V=n R T[/latex]; solve for [latex]n[/latex]

(d) [latex]\mathrm{K}={ }^{\circ} \mathrm{C}+273[/latex]; solve for [latex]{ }^{\circ} \mathrm{C}[/latex]

(e) [latex]\frac{3 x+7}{2}=y[/latex]; solve for [latex]x[/latex]

(f) [latex]\frac{32}{y+3}=8[/latex]; solve for [latex]y[/latex]

Accepted Answer

(a) [latex]V_{2}=\frac{P_{1} V_{1}}{P_{2}}[/latex]

(b) [latex]T_{1}=\frac{V_{1} T_{2}}{V_{2}}[/latex]

(c) [latex]n=\frac{P V}{R T}[/latex]

(d) [latex]{ }^{\circ} \mathrm{C}=\mathrm{K}-273[/latex]

(e) [latex]x=\frac{2 y-7}{3}[/latex]

(f) [latex]y=1[/latex]

Question A.FP.1: Solve each of the following for the indicated variable: (a) ......