Inside a car that was at STP, a 1.39 L bottle warms up to 97 C. If the volume of the bottle remains constant, what is the pressure, in atm, inside the hot water bottle?

1.36 atm

Explanation:

We'll begin by converting 97 °C to Kelvin temperature. This can be obtained as follow:

T(K) = T(°C) + 273

T(°C) = 97 °C

T(K) = 97 °C + 273

T(K) = 370 K

Finally, we shall determine the pressure in the hot water bottle. This can be obtained as follow:

Volume = constant

Initial temperature (T₁) = stp = 273 K

Initial pressure (P₁) = 1 atm

Final temperature (T₂) = 370 K

Final pressure (P₂) =?

P₁ / T₁ = P₂ / T₂

1 / 273 = P₂ / 370

Cross multiply

273 × P₂ = 370

Divide both side by 273

P₂ = 370 / 273

P₂ = 1.36 atm

Therefore, the pressure in the hot water bottle is 1.36 atm.

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