Convert : a. Exactly 1.5 atm to pascals b. 89 kPa to newton per squa

1.	Convert : a. Exactly 1.5 atm to pascals b. 89 kPa to newton per square metre (N m-2) c. 101.325 kPa to bar d. -100°C to Kelvin e. 0.124 torr to standard atmosphere
Answer» a. Exactly 1.5 atm to pascals : 1 atm = 101325 Pa ∴ 1.5 atm = 1.5 × 101325 = 151987.5 Pa b. 89 kPa to newton per square metre (N m^-2) : 1 Pa = 1 N m^-2 and 1 Pa = 10^-3 kPa ∴ 10^-3 kPa = 1 N m^-2 ∴ 89 kPa = \(\frac{1\times 89}{10^{-3}}Nm^{-2}\) c. 101.325 kPa to bar : 1 bar = 1.0 × 10⁵Pa = 1.0 × 10² k Pa ∴ 100 kPa = 1 bar ∴ 101.325 kPa = \(\frac{1\times 101.325}{100}\) = 1.01325 bar d. -100 °C to Kelvin : T(K) = t°C + 273.15 ∴ T(K) = (- 100°C) + 273.15 = 173.15 K e. 0.124 torr to standard atmosphere : 1 atm = 760 torr ∴ 1 torr = \(\frac{1}{760}\) atm ∴ 0.124 torr = 0.124 × \(\frac{1}{760}\) = 1.632 × 10^-4 atm

Convert : a. Exactly 1.5 atm to pascals b. 89 kPa to newton per square metre (N m-2) c. 101.325 kPa to bar d. -100°C to Kelvin e. 0.124 torr to standard atmosphere

Answer»

a. Exactly 1.5 atm to pascals :

1 atm = 101325 Pa

∴ 1.5 atm = 1.5 × 101325

= 151987.5 Pa

b. 89 kPa to newton per square metre (N m^-2) :

1 Pa = 1 N m^-2 and 1 Pa = 10^-3 kPa

∴ 10^-3 kPa = 1 N m^-2

∴ 89 kPa = \(\frac{1\times 89}{10^{-3}}Nm^{-2}\)

c. 101.325 kPa to bar :

1 bar = 1.0 × 10⁵Pa

= 1.0 × 10² k Pa

∴ 100 kPa = 1 bar

∴ 101.325 kPa = \(\frac{1\times 101.325}{100}\)

= 1.01325 bar

d. -100 °C to Kelvin :

T(K) = t°C + 273.15

∴ T(K) = (- 100°C) + 273.15

= 173.15 K

e. 0.124 torr to standard atmosphere :

1 atm = 760 torr

∴ 1 torr = \(\frac{1}{760}\) atm

∴ 0.124 torr = 0.124 × \(\frac{1}{760}\)

= 1.632 × 10^-4 atm