Solve the following formula for $n$.
$p v=n r t$
A. can't be solved for $n$
B. $n=\frac{r t}{p v}$
C. $n=p v-r t$
D. $n=\frac{p v}{r t}$
Answer (2)
Start with the given formula: p v = n r t .
Divide both sides by r t to isolate n : r t p v = n .
Simplify to find the solution: n = r t p v .
The final answer is: r t p v .
Explanation
Understanding the Problem We are given the formula p v = n r t and asked to solve for n . This means we want to isolate n on one side of the equation.
Isolating n To isolate n , we need to divide both sides of the equation by r t . This gives us: r t p v = r t n r t
Final Answer Simplifying the right side of the equation, we get: r t p v = n Thus, n = r t p v
Examples
In chemistry, the ideal gas law, P V = n RT , relates the pressure (P), volume (V), number of moles (n), ideal gas constant (R), and temperature (T) of a gas. If you know the pressure, volume, and temperature of a gas, you can use this formula to calculate the number of moles of the gas present. For example, if you have a container of gas with a known pressure, volume, and temperature, you can rearrange the formula to solve for 'n', which represents the amount of gas in moles. This is crucial for various calculations in stoichiometry and chemical reactions.
The formula for n from the equation p v = n r t is n = r t p v . Therefore, the correct choice is option D. This relationship is fundamental in chemistry for determining the amount of gas present in a system.
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