Answer:
The rate at which the root beer level is decreasing is 0.08603 cm/s.
Explanation:
The formula for the volume of the cone is:

Where V denotes the cone's volume
r indicates the radius
h signifies the height
The ratio of radius to height remains consistent throughout the cone.
Thus, we have r = d / 2 = 10 / 2 cm = 5 cm
h is 13 cm
Consequently, r / h = 5 / 13
r = {5 / 13} h


Additionally, we differentiate the volume expression in relation to time:

Given that
= -4 cm³/sec (the negative sign indicates outflow)
h equals 10 cm
Hence,



The rate at which the root beer level is decreasing is 0.08603 cm/s.
If the products have three nitrogen atoms, the reactants must have had the same quantity, as mass is conserved in a chemical reaction.
Answer:
the temperature on the left side is 1.48 times greater than that on the right
Explanation:
GIVEN DATA:

T1 = 525 K
T2 = 275 K
It is known that


n and v are constant on both sides. Therefore we have

..............1
let the final pressure be P and the temperature 

..................2
similarly
.............3
divide equation (2) by equation (3)
![\frac{21}{11}^{-2/3} \frac{21}{11}^{5/3} = [\frac{T_1 {f}}{T_2 {f}}]^{5/3}](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B11%7D%5E%7B-2%2F3%7D%20%5Cfrac%7B21%7D%7B11%7D%5E%7B5%2F3%7D%20%3D%20%5B%5Cfrac%7BT_1%20%7Bf%7D%7D%7BT_2%20%7Bf%7D%7D%5D%5E%7B5%2F3%7D)

thus, the left side temperature equals 1.48 times the right side temperature
Answer:
Explanation:
Amount of gold deposited = 0.5 g
Gold's molar mass = 197 g/mol
Time duration, t = 6 hours
= 6 × 3600
= 12600 s
Calculation of moles: mass/molar mass
= 0.5/197
= 0.00254 mole
Assuming
Au --> Au+ + e-
Faraday's constant = 9.65 x 10^4 C mol-1
Charge, Q = 96500 × 0.00254
= 244.924 C
Relation: Q = I × t
Thus, I = 244.924/12600
= 0.011 A
= 11.34 mA.
The charge on the plastic cube is determined as follows.