2.50 g of hydrogen gas is heated from 17.0 0C to 230C. The specific heat capacity of hydrogen is 14.267 J/g●0C. How much energy is absorbed?

THE OPTIONS ARE:
a. 2.14 x 102 J
b. 2.14 x 102 kJ
c. 0.214 J
d. 0.214 kJ

To calculate the energy absorbed, we can use the equation:

Q = mcΔT

where:
Q = energy absorbed (in J)
m = mass of hydrogen gas (in g)
c = specific heat capacity of hydrogen (in J/g·°C)
ΔT = change in temperature (in °C)

Given:
m = 2.50 g
c = 14.267 J/g·°C
ΔT = 230°C - 17.0°C = 213.0°C

Plugging in the values:

Q = (2.50 g)(14.267 J/g·°C)(213.0°C)
Q = 7623.9675 J

Since the answer is in J, the correct option is:

a. 2.14 x 10^2 J