The Haber process is used worldwide to produce ammonia, which is an essential ingredient in most nitrogen fertilizers. It is estimated that nearly half of the world’s food production depends on fertilizers made using ammonia produced by the Haber process. N2​(g) + 3 H2​(g) → 2 NH3​(g) Suppose 14.00 g N2​ reacts with 2.50 g H2. a. Calculate how many moles of NH3 will be produced if 14.00 g N2 reacts with excess H2. The molar mass of N2 is 28.02 g/mol. [blank1] moles of NH3 (use three digits past the decimal)   b. Calculate how many moles of NH3 will be produced if 2.50 g H2 reacts with excess N2. The molar mass of H2 is 2.016 g/mol.   [blank2] moles of NH3 (use three digits past the decimal)   c. Identify the limiting reactant: [blank3] (type N2 or H2)

The given graduated cylinder is calibrated in milliliters (mL). Determine the volume of liquid in the graduated cylinder and report it to the correct number of significant figures. (This question will be manually graded, half for measurement and half for significant figures.)   (enter a number only)

Emergency personnel should be familiar with the function and operation of each type of emergency equipment. They should also practice using the equipment. 

An athlete swings a pendulum of mass at constant speed in a horizontal circle as shown in the figure below. If the speed of the pendulum is , and the angle

A vase is being moved on a trolley. The coefficients of static and kinetic friction between the vase and trolley are

A small collar is attached to a spring and slides without friction along a circular rod in a vertical plane. The spring has an undeformed length of  and a spring constant of .  What is the potential energy stored in the spring when the collar is at point B?  Hint: convert inches to feet for consistent units! 

A rotating bike rack is shown below. What kind of motion do the following rigid bodies exhibit?  Link Type of Motion AB [pure_rotation] BD [curv_translation] Choose the appropriate answer from the dropdown menus.

A bucket full of ore is suspended from a traveling crane that moves along a stationary bridge. The crane is travelling at a speed of when it is brought to a sudden stop.  To what angle from the vertical would the bucket swing to before coming to an instantaneous stop?  Use . Enter a number correct to 2 decimal places with the angle specified in degrees.The answer will be between 20 degrees and 30 degrees.

A homogeneous sphere S, a uniform cylinder C, and a thin pipe P are in contact when they are released from rest on the inclined plane as shown in the figure below. All of the objects have the same mass . All three objects roll without slipping.  Use . What is the acceleration of the center of mass of the uniform cylinder C? 

A nozzle discharges a stream of water in the direction shown with an initial velocity of . What is the radius of curvature of the stream of water as it leaves the nozzle?  Use . Also, observe how the angle is given carefully and use the appropriate trigonometry term to solve the problem. Enter a number correct to 2 decimal places and in units of .The answer will be between and .