Solve 7+(1/2*8.314*10^-3*298)

$$7 + ( \frac { 1 } { 2 } \times 8.314 \times 10 ^ { - 3 } \times 298 )$$

Evaluate

$$8.238786$$

Solution Steps

Multiply \frac{1}{2} and 8.314 to get \frac{4157}{1000}.

$$7+\frac{4157}{1000}\times 10^{-3}\times 298$$

Calculate 10 to the power of -3 and get \frac{1}{1000}.

$$7+\frac{4157}{1000}\times \frac{1}{1000}\times 298$$

Multiply \frac{4157}{1000} and \frac{1}{1000} to get \frac{4157}{1000000}.

$$7+\frac{4157}{1000000}\times 298$$

Multiply \frac{4157}{1000000} and 298 to get \frac{619393}{500000}.

$$7+\frac{619393}{500000}$$

Add 7 and \frac{619393}{500000} to get \frac{4119393}{500000}.

$$\frac{4119393}{500000}$$

Factor

$$\frac{3 \cdot 41 \cdot 107 \cdot 313}{2 ^ {5} \cdot 5 ^ {6}} = 8\frac{119393}{500000} = 8.238786$$