Solve 12.41/2.303*8.314*10^-3[1/300-1/310]

$$\frac { 12.41 } { 2.303 \times 8.314 \times 10 ^ { - 3 } } [ \frac { 1 } { 300 } - \frac { 1 } { 310 } ]$$

Evaluate

$$\frac{62050000}{890342103}\approx 0.069692312$$

Solution Steps

Multiply 2.303 and 8.314 to get 19.147142.

$$\frac{12.41}{19.147142\times 10^{-3}}\left(\frac{1}{300}-\frac{1}{310}\right)$$

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

$$\frac{12.41}{19.147142\times \frac{1}{1000}}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Multiply 19.147142 and \frac{1}{1000} to get \frac{9573571}{500000000}.

$$\frac{12.41}{\frac{9573571}{500000000}}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Divide 12.41 by \frac{9573571}{500000000} by multiplying 12.41 by the reciprocal of \frac{9573571}{500000000}.

$$12.41\times \frac{500000000}{9573571}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Multiply 12.41 and \frac{500000000}{9573571} to get \frac{6205000000}{9573571}.

$$\frac{6205000000}{9573571}\left(\frac{1}{300}-\frac{1}{310}\right)$$

Subtract \frac{1}{310} from \frac{1}{300} to get \frac{1}{9300}.

$$\frac{6205000000}{9573571}\times \frac{1}{9300}$$

Multiply \frac{6205000000}{9573571} and \frac{1}{9300} to get \frac{62050000}{890342103}.

$$\frac{62050000}{890342103}$$

Factor

$$\frac{17 \cdot 73 \cdot 2 ^ {4} \cdot 5 ^ {5}}{3 \cdot 31 \cdot 47 \cdot 4157 \cdot 7 ^ {2}} = 0.06969231241668013$$