Solve {l}{4=8314T}{a=1013*10^5*22}{text{Solvefor}btext{where}}{b=a}

$$\left. \begin{array} { l } { 4 = 8314 T }\\ { a = 1013 \cdot 10 ^ {5} \cdot 22 }\\ { \text{Solve for } b \text{ where} } \\ { b = a } \end{array} \right.$$

Solve for T, a, b

$$b=2228600000$$

Solution Steps

Consider the first equation. Divide both sides by 8314.

$$\frac{4}{8314}=T$$

Reduce the fraction \frac{4}{8314} to lowest terms by extracting and canceling out 2.

$$\frac{2}{4157}=T$$

Swap sides so that all variable terms are on the left hand side.

$$T=\frac{2}{4157}$$

Consider the second equation. Calculate 10 to the power of 5 and get 100000.

$$a=1013\times 100000\times 22$$

Multiply 1013 and 100000 to get 101300000.

$$a=101300000\times 22$$

Multiply 101300000 and 22 to get 2228600000.

$$a=2228600000$$

Consider the third equation. Insert the known values of variables into the equation.

$$b=2228600000$$

The system is now solved.

$$T=\frac{2}{4157} a=2228600000 b=2228600000$$