I think it’s 7.41 because you count up all the atoms and find out how many are x (the large grey ones) and you do 2/27 x 100 which gives you 7.41 :) (sorry if i counted wrong it’s kinda hard)
Answer:
900 K
Explanation:
Recall the ideal gas law:
Because only pressure and temperature is changing, we can rearrange the equation as follows:
The right-hand side stays constant. Therefore:
The can explodes at a pressure of 90 atm. The current temperature and pressure is 300 K and 30 atm, respectively.
Substitute and solve for <em>T</em>₂:
Hence, the temperature must be reach 900 K.
The granite loses 1.53 × 10⁸ J of heat.
The formula for the heat (<em>q</em>) transferred is
<em>q = mC</em>Δ<em>T
</em>
I shall assume that the specific heat capacity of granite is 0.790 J·°C⁻¹g⁻¹.
<em>m</em> = 3.580 × 10⁶ g; Δ<em>T</em> = <em>T</em>_f – <em>T</em>_i = -12.9 °C - 41.2 °C = -54.1 °C
∴ <em>q</em> = 3.580 × 10⁶ g × 0.790 J·°C⁻¹g⁻¹ × (-54.1 °C) = -1.53 × 10⁸ J
The granite block loses 1.53 × 10⁸ J.