92. A<span>ll </span>isotopes<span> of uranium have the same number of protons</span>
Answer:
![\boxed{\text{2.6 kPa}}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Ctext%7B2.6%20kPa%7D%7D)
Explanation:
To solve this problem, we can use the Combined Gas Laws:
![\dfrac{p_{1}V_{1} }{T_{1}} = \dfrac{p_{2}V_{2} }{T_{2}}](https://tex.z-dn.net/?f=%5Cdfrac%7Bp_%7B1%7DV_%7B1%7D%20%7D%7BT_%7B1%7D%7D%20%3D%20%5Cdfrac%7Bp_%7B2%7DV_%7B2%7D%20%7D%7BT_%7B2%7D%7D)
Data:
p₁ = 1.7 kPa; V₁ = 7.5 m³; T₁ = -10 °C
p₂ = ?; V₂ = 3.8 m³; T₂ = 200 K
Calculations:
(a) Convert temperature to kelvins
T₁ = (-10 + 273.15) K = 263.15 K
(b) Calculate the pressure
![\begin{array}{rcl}\dfrac{1.7 \times 7.5 }{263.15} & = & \dfrac{p_{2} \times 3.8}{200}\\\\0.0485 & = & 0.0190p_{2}\\p_{2} & = & \textbf{2.6 kPa}\\\end{array}\\\text{The new pressure of the gas is \boxed{\textbf{2.6 kPa}}}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Brcl%7D%5Cdfrac%7B1.7%20%5Ctimes%207.5%20%7D%7B263.15%7D%20%26%20%3D%20%26%20%5Cdfrac%7Bp_%7B2%7D%20%5Ctimes%203.8%7D%7B200%7D%5C%5C%5C%5C0.0485%20%26%20%3D%20%26%200.0190p_%7B2%7D%5C%5Cp_%7B2%7D%20%26%20%3D%20%26%20%5Ctextbf%7B2.6%20kPa%7D%5C%5C%5Cend%7Barray%7D%5C%5C%5Ctext%7BThe%20new%20pressure%20of%20the%20gas%20is%20%5Cboxed%7B%5Ctextbf%7B2.6%20kPa%7D%7D%7D)
Answer:
![V_2=10L](https://tex.z-dn.net/?f=V_2%3D10L)
Explanation:
Hello there!
In this case, according to the given information, it turns out possible for us to calculate the required new volume by using the Charles' law as a directly proportional relationship between temperature and volume:
![\frac{V_2}{T_2} =\frac{V_1}{T_1}](https://tex.z-dn.net/?f=%5Cfrac%7BV_2%7D%7BT_2%7D%20%3D%5Cfrac%7BV_1%7D%7BT_1%7D)
In such a way, we solve for V2 and plug in V1, T1 and T2 to obtain:
![V_2=\frac{V_1T_2}{T_1}\\\\V_2=\frac{5.0L*600K}{300K}\\\\V_2=10L](https://tex.z-dn.net/?f=V_2%3D%5Cfrac%7BV_1T_2%7D%7BT_1%7D%5C%5C%5C%5CV_2%3D%5Cfrac%7B5.0L%2A600K%7D%7B300K%7D%5C%5C%5C%5CV_2%3D10L)
Regards!
The answer would be D. The only minerals harder than corundum is diamond.
Answer:
<h2>A. Mercury's orbit is shorter than Earth</h2>