Question

the gas pressure inside an ordinary vacuum chamber is 0.500 torr. calculate the gas pressure in mmhg and atm. round each of your answers to 3 significant digits.

Explanation:

Step1: Convert torr to mmHg

We know that 1 torr = 1 mmHg. So, for 0.500 torr, the pressure in mmHg is the same as in torr.
$0.500\ \text{torr} \times \frac{1\ \text{mmHg}}{1\ \text{torr}} = 0.500\ \text{mmHg}$

Step2: Convert torr to atm

We know that 1 atm = 760 torr. So, we use the conversion factor $\frac{1\ \text{atm}}{760\ \text{torr}}$.
$0.500\ \text{torr} \times \frac{1\ \text{atm}}{760\ \text{torr}} = \frac{0.500}{760}\ \text{atm} \approx 6.58\times 10^{-4}\ \text{atm}$

Answer:

Pressure in mmHg: $\boldsymbol{0.500\ \text{mmHg}}$, Pressure in atm: $\boldsymbol{6.58\times 10^{-4}\ \text{atm}}$