Question

At the gym, you expend $310kcal$riding the stationary bicycle for$1h$. How many moles of ATP will this require?

Short answer

The number of moles of ATP require is$42.46\mathrm{moles}\mathrm{of}\mathrm{ATP}$.

Step-by-step solution

Given Information

We have given the energy is$310\mathrm{kcal}$and time is$1h$.

Simplify

Considering the theory that hydrolysis of $\mathrm{ATP}$produces adenosine diphosphate(ADP), a phosphate group$\left(P_i\right)$and the energy of role="math" localid="1653159941100" $7.3\mathrm{kcal}\mathrm{per}\mathrm{mole}\mathrm{of}\mathrm{ATP}$, that is

$ATP+H_{2}O\to ADO+P_i+7.3\mathrm{kcal}/\mathrm{mole}$

From the equation, we can see that one mole of ATP generates $7.3\mathrm{kcal}$of energy. So,

$$\begin{gathered} \mathrm{mole}\mathrm{ATP}=\frac{310\mathrm{kcal}}{7.3{\displaystyle \frac{\mathrm{kcal}}{\mathrm{mole}}}} \\ \mathrm{mole}\mathrm{ATP}=42.46\mathrm{moles}\mathrm{of}\mathrm{ATP} \end{gathered}$$