Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

correct to solve the problem, begin with 30.95 inhg, convert the pressu…

Question

correct
to solve the problem, begin with 30.95 inhg, convert the pressure measured in inhg to atm and then atm to torr using the appropriate conversion factors. the equalities between the units are
1 atm = 29.92 inhg
1 atm = 760 torr
finally, set up the expression that converts inhg to torr:
30.95 inhg × \frac{1 atm}{29.92 inhg} × \frac{760 torr}{1 atm} = 786.1 torr
part d
convert this pressure to kpa.
express your answer in kilopascals to four significant figures.
p = kpa

Explanation:

Step1: Convert inHg to atm

We know that \(1\ atm = 29.92\ inHg\). So, for \(P = 30.95\ inHg\), the conversion to atm is \(P_{atm}=\frac{30.95\ inHg}{29.92\ inHg/atm}\)

Step2: Convert atm to kPa

Since \(1\ atm= 101.325\ kPa\), then \(P_{kPa}=P_{atm}\times101.325\ kPa/atm\)
Combining the two steps: \(P = 30.95\ inHg\times\frac{1\ atm}{29.92\ inHg}\times\frac{101.325\ kPa}{1\ atm}\)

$$ LATEXBLOCK0 $$

Answer:

\(104.8\ kPa\)