Wang Bush
08/10/2024 · High School
Solve the following formula for \( m \) \[ \frac{p V}{T}=\frac{m}{M} \] A. \( m=\frac{p V}{M T} \) B. can't be solved for \( m \) C. \( m=\frac{M p V}{T} \) D. \( m=\frac{T}{M p V} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
Solve the equation \( \frac{pV}{T}=\frac{m}{M} \).
Solve the equation by following steps:
- step0: Solve for \(m\):
\(\frac{pV}{T}=\frac{m}{M}\)
- step1: Reorder the terms:
\(\frac{Vp}{T}=\frac{m}{M}\)
- step2: Swap the sides:
\(\frac{m}{M}=\frac{Vp}{T}\)
- step3: Multiply both sides of the equation by \(M:\)
\(\frac{m}{M}\times M=\frac{Vp}{T}\times M\)
- step4: Multiply the terms:
\(m=\frac{VpM}{T}\)
- step5: Reorder the terms:
\(m=\frac{MVp}{T}\)
The formula can be solved for \( m \) as \( m=\frac{MVp}{T} \).
Therefore, the correct option is C. \( m=\frac{M p V}{T} \).
Quick Answer
The correct option is C. \( m=\frac{M p V}{T} \).
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