In the reaction, CH4 + 2O2 arrow CO2 + 2H2O, 890 kilojoules of heat are released. Using Einstein's equation, calculate the mass amount to which this energy equates. (1 J = 1 kg m2 s-2) and the speed of light = 3.0 x 108 m/sec
(Points : 3)

9.9 x 1012 kg

9.9 x 10-12 kg

9.9 x 10-14 kg

1.1 x 10-6 kg

Question

In the reaction, CH4 + 2O2 arrow CO2 + 2H2O, 890 kilojoules of heat are released. Using Einstein's equation, calculate the mass amount to which this energy equates. (1 J = 1 kg m2 s-2) and the speed of light = 3.0 x 108 m/sec
 (Points : 3)  
       
9.9 x 1012 kg

        
9.9 x 10-12 kg

        
9.9 x 10-14 kg

        
1.1 x 10-6 kg

abb0t · Answer

Einsteins equation relating mass and energy is defined as: $E = mc^2$ where:
E = energy 
m = mass
c = the speed of light: $3.0 \times 10^8 \frac{ m }{ \sec }$
Use algebra to rearrange the formula to find mass. This means that energy is divided by the speed of light squared.