QQuestionPhysics
QuestionPhysics
The atmospheric pressure on a mountain is 550 mmHg and 1 atm is equal to 760 mmHg. What is the pressure in atm? Give your answer to 2 significant figures.
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Answer
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Step 1:: Write the given information in proper mathematical notation.
The atmospheric pressure is 550 millimeters of mercury (mmHg) and 1 atmosphere (atm) is equal to 760 mmHg. We want to find the pressure in atm.
Step 2:: Set up a proportion to relate the given information.
Where $P$ is the pressure we want to find and $x$ is the number of atmospheres.
The proportion is:
Step 3:: Solve for $x$ by cross-multiplying:
550 \text{ mmHg} \times x \text{ atm} = 1 \text{ atm} \times P \text{ mmHg}
Step 4:: Divide both sides by 550 mmHg to isolate $x$:
x \text{ atm} = \frac{1 \text{ atm} \times P \text{ mmHg}}{550 \text{ mmHg}}
Step 5:: Substitute the given value of $P$ (the pressure in mmHg) into the equation:
x \text{ atm} = \frac{1 \text{ atm} \times 550 \text{ mmHg}}{550 \text{ mmHg}}
Step 6:: Simplify the equation:
x \text{ atm} = 1 \text{ atm}
Final Answer
The pressure is 1 atm.
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