Question

Perform each of the following unit conversions using the conversion factors given below: 1 atm = 760 mmHg = 101.325 kPa (Round answer to 4 significant figures and use standard notation.) 1.000 × 105 kPa = atm 5.914 × 10-6 atm = mmHg = kPa

Answer 1

Answer:

For 1: The correct answer is $9.869\times 10^2atm$

For 2: The correct answer is $4.495\times 10^{-3}mmHg$ and $5.992\times 10^{-4}kPa$

Explanation:

We are given:

1 atm = 760 mmHg

1 atm = 101.325 kPa

• For 1: We need to convert the given value into atm.

We are given:

A numerical value of $1.000\times 10^5kPa$

Converting this into 'atm', we get:

$\Rightarrow 1.000\times 10^5kPa\times (\frac{1atm}{101.325kPa})\\\\\Rightarrow 9.869\times 10^2atm$

Hence, the correct answer is $9.869\times 10^2atm$

• For 2: We need to convert the given value into mmHg and kPa

We are given:

A numerical value of $5.914\times 10^{-6}atm$

Converting this into 'mmHg', we get:

$\Rightarrow 5.914\times 10^{-6}atm\times (\frac{760mmHg}{1atm})\\\\\Rightarrow 4.495\times 10^{-3}mmHg$

Converting this into 'kPa', we get:

$\Rightarrow 5.914\times 10^{-6}atm\times (\frac{101.325kPa}{1atm})\\\\\Rightarrow 5.992\times 10^{-4}kPa$

Hence, the correct answer is $4.495\times 10^{-3}mmHg$ and $5.992\times 10^{-4}kPa$